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Question

Jack and Jessica are selling pies for a school fundraiser. Customers can buy blueberry pies and lemon meringue pies. Jack sold 7 blueberry and 5 lemon meringue pies for a total of $181. Jessica sold 14 blueberry and 3 lemon meringue pies for a total of $236. Write a system and solve to find the cost of one blueberry pie and one lemon meringue pie.

Answer 1

Let b = cost of blueberry pies

Let m = cost of lemon meringue pies

 

Jack sold 7 blueberry and 5 lemon meringue pies for a total of $181:

7b + 5m = 181    {equation 1}

 

Jessica sold 14 blueberry and 3 lemon meringue pies for a total of $236:

14b + 3m = 236   {equation 2}

 

Let's use elimination.  If we multiply equation 1 through by -2 and add to

equation 2 we eliminate the variable b.

 

-14b - 10m = -362     {2(equation 1)}

 14b + 3m = 236   {equation 2}

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          -7m = -126

            m = 18    lemon meringue pies cost $18

 

Plug 18 in for m in either of the original equations and solve for b

to find cost a blueberry pie.